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Finding the Third Proportional to 65,758.50 and 97,623

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Solution

The third proportional to 65,758.50 and 97,623 is: 144,928.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,758.50 : 97,623 = 97,623 : x
  2. Step 2: Convert to fraction form
    65,758.50/97,623 = 97,623/x
  3. Step 3: Cross multiply
    65,758.50x = 97,623 × 97,623
  4. Step 4: Simplify right side
    65,758.50x = 9,530,250,129
  5. Step 5: Solve for x
    x = 9,530,250,129/65,758.50
  6. Step 6: Final answer
    x = 144,928.03

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.